SOLUTION: Can you help me solve this problem? A biologist isolates two strains of a particular virus and monitors the growth of each, starting with samples of 0.01 gram. Strain A increases

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can you help me solve this problem? A biologist isolates two strains of a particular virus and monitors the growth of each, starting with samples of 0.01 gram. Strain A increases       Log On


   

Question 967422: Can you help me solve this problem?
A biologist isolates two strains of a particular virus and monitors the growth of each, starting with samples of 0.01 gram. Strain A increases by 10% in 8 hours and strain B increases by 12 % in 9 hours. Find the hourly growth factor for each strain to compare which strain of virus grows more rapidly?
Thank you
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Strain A

1.1=1%2Ae%5E%28k%2A8%29
ln%281.1%29=ln%281%29%2Bk%2A8%2Aln%28e%29'
ln%281.1%29=8k
k=ln%281.1%29%2F8
highlight%28k%5Ba%5D=0.0119%29

Strain B

1.12=1%2Ae%5E%28k%2A9%29
ln%281.12%29=0%2Bk%2A9
k=ln%281.12%29%2F9
highlight%28k%5Bb%5D=0.0126%29

Strain B grows faster than strain A.